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2100576114 = 2327136121023
BaseRepresentation
bin111110100110100…
…0011111101110010
312102101121022201100
41331031003331302
513300221413424
6544234345230
7103024413420
oct17515037562
95371538640
102100576114
119887a1a1a
124a758b216
13276260160
1415cd9a110
15c462cdc9
hex7d343f72

2100576114 has 96 divisors (see below), whose sum is σ = 5693635584. Its totient is φ = 544890240.

The previous prime is 2100576073. The next prime is 2100576119. The reversal of 2100576114 is 4116750012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2100576119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89407 + ... + 110429.

It is an arithmetic number, because the mean of its divisors is an integer number (59308704).

Almost surely, 22100576114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100576114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846817792).

2100576114 is an abundant number, since it is smaller than the sum of its proper divisors (3593059470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2100576114 is a wasteful number, since it uses less digits than its factorization.

2100576114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21112 (or 21109 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 2100576114 is about 45832.0424375785. The cubic root of 2100576114 is about 1280.6962589763.

The spelling of 2100576114 in words is "two billion, one hundred million, five hundred seventy-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 61 63 78 91 117 122 126 182 183 234 273 366 427 546 549 793 819 854 1098 1281 1586 1638 2379 2562 3843 4758 5551 7137 7686 11102 14274 16653 21023 33306 42046 49959 63069 99918 126138 147161 189207 273299 294322 378414 441483 546598 819897 882966 1282403 1324449 1639794 1913093 2459691 2564806 2648898 3826186 3847209 4919382 5739279 7694418 8976821 11478558 11541627 16671239 17217837 17953642 23083254 26930463 33342478 34435674 50013717 53860926 80791389 100027434 116698673 150041151 161582778 233397346 300082302 350096019 700192038 1050288057 2100576114